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Simplifying 5(7x + -8) = 42x + -48 Reorder the terms: 5(-8 + 7x) = 42x + -48 (-8 * 5 + 7x * 5) = 42x + -48 (-40 + 35x) = 42x + -48 Reorder the terms: -40 + 35x = -48 + 42x Solving -40 + 35x = -48 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -40 + 35x + -42x = -48 + 42x + -42x Combine like terms: 35x + -42x = -7x -40 + -7x = -48 + 42x + -42x Combine like terms: 42x + -42x = 0 -40 + -7x = -48 + 0 -40 + -7x = -48 Add '40' to each side of the equation. -40 + 40 + -7x = -48 + 40 Combine like terms: -40 + 40 = 0 0 + -7x = -48 + 40 -7x = -48 + 40 Combine like terms: -48 + 40 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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